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Finding the Fourth Proportional to 723.47, 1,083.98 and 516.99

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Solution

The fourth proportional to 723.47, 1,083.98 and 516.99 is: 774.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.47 : 1,083.98 = 516.99 : x
  2. Step 2: Convert to fraction form
    723.47/1,083.98 = 516.99/x
  3. Step 3: Cross multiply
    723.47x = 1,083.98 × 516.99
  4. Step 4: Simplify right side
    723.47x = 560,408.11
  5. Step 5: Solve for x
    x = 560,408.11/723.47
  6. Step 6: Final answer
    x = 774.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.